import turtle
import math

def generateWindow():
    window = turtle.Screen()
    return window

def drawDotWithTangent(d, tangentColor=None, dotColor=None):
    window = generateWindow()
    myCircleTurtle = turtle.Turtle()
    myTangentTurtle = turtle.Turtle()
    myCircleTurtle.color(dotColor)
    myTangentTurtle.color(tangentColor)
    myCircleTurtle.dot(d)
    myTangentTurtle.penup()
    myTangentTurtle.setposition(d/2,-d)
    myTangentTurtle.pendown()
    myTangentTurtle.left(90)
    myTangentTurtle.forward(d*2)
    window.mainloop()


def lineSegment(startCoordinate, endCoordinate, color):
    window = generateWindow()
    myLine = turtle.Turtle()
    toTravel = (endCoordinate[0] - startCoordinate[0], endCoordinate[1] - startCoordinate[1])
    hypotenuse = math.sqrt((toTravel[0]**2 + toTravel[1]**2))
    angle = math.degrees(math.asin(toTravel[1] / hypotenuse))
    myStartDot = turtle.Turtle()
    myStartDot.penup()
    myStartDot.setposition(startCoordinate)
    myStartDot.pendown()
    myStartDot.dot(10, color)
    myLine.penup()
    myLine.setposition(startCoordinate)
    myLine.pendown()
    myLine.left(angle)
    myLine.forward(hypotenuse)
    myEndDot = turtle.Turtle()
    myEndDot.penup()
    myEndDot.setposition(endCoordinate)
    myEndDot.pendown()
    myEndDot.dot(10, color)
    window.mainloop()

def drawShape(length, sides, shapeColor, borderColor):
    window = generateWindow()
    myShape = turtle.Turtle()
    myShape.color(shapeColor)
    angle = 360//sides
    myShape.begin_fill()
    for x in range(sides):
        myShape.forward(length)
        myShape.left(angle)
    myShape.end_fill()
    myBorder = turtle.Turtle()
    myBorder.color(borderColor)
    for y in range(sides):
        myBorder.forward(length)
        myBorder.left(angle)
    window.mainloop()

def drawTriangle(angle, length):
    window = generateWindow()
    myTriangle = turtle.Turtle()
    for x in range(3):
        myTriangle.forward(length)
        myTriangle.left(180-angle)
    window.mainloop()